Base | Representation |
---|---|
bin | 1001100010111… |
… | …1011001101000 |
3 | 2210100020121110 |
4 | 2120233121220 |
5 | 40222240130 |
6 | 3550110320 |
7 | 664222545 |
oct | 230573150 |
9 | 83306543 |
10 | 40040040 |
11 | 20668747 |
12 | 114ab3a0 |
13 | 83abb41 |
14 | 5463bcc |
15 | 37adab0 |
hex | 262f668 |
40040040 has 32 divisors (see below), whose sum is σ = 120120480. Its totient is φ = 10677312.
The previous prime is 40040029. The next prime is 40040041. The reversal of 40040040 is 4004004.
40040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
40040040 is a modest number, since divided by 40040 gives 40 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 40039998 and 40040025.
It is not an unprimeable number, because it can be changed into a prime (40040041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166714 + ... + 166953.
It is an arithmetic number, because the mean of its divisors is an integer number (3753765).
Almost surely, 240040040 is an apocalyptic number.
40040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
40040040 is an abundant number, since it is smaller than the sum of its proper divisors (80080440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40040040 is a wasteful number, since it uses less digits than its factorization.
40040040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 333681 (or 333677 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 40040040 is about 6327.7199685195. The cubic root of 40040040 is about 342.1092636758.
Adding to 40040040 its reverse (4004004), we get a palindrome (44044044).
The spelling of 40040040 in words is "forty million, forty thousand, forty", and thus it is an eban number.
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